85723402644 has 144 divisors (see below), whose sum is σ = 238084951104. Its totient is φ = 25790976000.

The previous prime is 85723402637. The next prime is 85723402691. The reversal of 85723402644 is 44620432758.

It is a happy number.

85723402644 is a `hidden beast` number, since 8 + 572 + 34 + 0 + 2 + 6 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85723402644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59078119 + ... + 59079569.

It is an arithmetic number, because the mean of its divisors is an integer number (1653367716).

Almost surely, 2^85723402644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85723402644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119042475552).

85723402644 is an abundant number, since it is smaller than the sum of its proper divisors (152361548460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85723402644 is a wasteful number, since it uses less digits than its factorization.

85723402644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 85723402644 in words is "eighty-five billion, seven hundred twenty-three million, four hundred two thousand, six hundred forty-four".